You would like to maximize profits at your bakery, which makes decorated sheet cakes for parties in two sizes, a full sheet and a half sheet. A batch of 12 full-sheet cakes takes 3.5 hours of oven time and 4 hours of decorating time, whereas a batch of 20 half-sheet cakes takes 5 hours of oven time and 2 hours of decorating time. The oven is available for a maximum of 21 hours a day, and the decorating room is available for 14 hours a day. Let represent the number of batches of sheet cakes that the bakery produces in one day, and let represent the number of batches of half-sheet cakes. The bakery makes a profit of $30 on each batch of full-sheet cakes and $35 on each batch of half-sheet cakes. The bakery must bake at least one batch of each kind to meet customer needs. There should be one inequality for decorating time and another for oven time. Let x = 12 full-sheet cakes and y = 20 half sheets